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[Solution Library] (1.5 marks) The random variable, X , has density function f (x) = 1/ , 0 < x < , > 0. We wish to test the hypothesis H 0 : = 5 H 1 :

Question: (1.5 marks)

The random variable, X , has density function

f ( x ) = 1/ , 0 < x < , > 0.

We wish to test the hypothesis

H ₀ : = 5

H ₁ : > 5

when we have only a single observed value of X .

Consider the test which rejects H ₀ if X > c . Determine c so that = 0.20 and draw the graph of its power function.

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[Solution Library] (1.5 marks) The random variable, X , has density function f (x) = 1/ , 0 < x < , > 0. We wish to test the hypothesis H 0 : = 5 H 1 :

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